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WorksheetsAnalyzing Sequences and Series
Total questions: 16
Worksheet time: 14mins
Is the following sequence Geometric, Arithmetic, or Neither
3,6,12,24
Geometric
Neither
Arithmetic
Which sequences are arithmetic? Select all that apply.
3,5,7,9
4,7,10,12
1/2, 1, 3/2, 2
4,16,64,256
Write the recursive rule of the following sequence.
3,21,147,1029
What is the third term of the sequence given the following rule.
f(n)= 3+4(n-1)
16
21
11
7
Find the common difference of this Geometric sequence.
100, 50, 25, 12.5, 6.25
1/2
3/2
2/5
2/1
Sister Shreya baked 300 cookies in week one, then every week she makes two-thirds (2/3) of the previous week's amount. How many cookies will she make in week 2?
Find the first 4 terms of the sequence given the following rule:
f(n)=3+4(n-1)
f(1) = 3
f(2) = 7
f(3) = 14
f(4) 28
f(1) = 4
f(2) = 8
f(3) = 12
f(4) = 16
f(1) = 3
f(2) = 7
f(3) = 11
f(4) = 15
f(1) = 3
f(2) = 6
f(3) = 9
f(4) = 12
What could be a possible arithmetic equation if the common difference is -3?
f(n) = 3+3(n-1)
f(n) = 8+3(n-1)
f(n) = 16-3(n-1)
f(n) = -3+8(n-1)
Fill in the blank of the arithmetic equation.
f(n)= f(1) + (n _ 1)+d
Minus: -
Plus: +
Divide: `/.
Multiply: x
What could be the possible Geometric equations if the first term is 8?
Select all that apply.
f(n) = 30*8^(n-1)
f(n) = 8*-8^(n-1)
f(n) = 3*9^(n-8)
f(n) = 8*3^(n-1)
What is the common difference of the following?
19, 14, 9, 4,.....
-5
5
-4
0.5
If the common difference is 6, and the first term is 5, what would be the 21st term?
124
125
127
126
The following is Geometric
1, 3, 9, 27,....
True
False
Is the following Geometric, arithmetic, or neither?
19, 21, 23, 26, 32,...
geometric
arthimetic
neither
True or False: f(1) = 20; f(n) = f(n-1) + 30 is the explicit rule for arithmetic sequences.
True
False
What is the explicit rule for this sequence and is it Geometric or arithmetic?
1/2, 4, 32, 256,...
Geometric:
f(n) = 1/2 * 8^(n-1)
Geometric:
f(n) = 1/2 * 4^(n-1)
Arithmetic:
f(n) = 1/2 * 8^(n-1)
Arithmetic:
f(n) = 1/2+8(n-1)
